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Finding the Fourth Proportional to 10,559, 15,837.87 and 3,984.32

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Solution

The fourth proportional to 10,559, 15,837.87 and 3,984.32 is: 5,976.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559 : 15,837.87 = 3,984.32 : x
  2. Step 2: Convert to fraction form
    10,559/15,837.87 = 3,984.32/x
  3. Step 3: Cross multiply
    10,559x = 15,837.87 × 3,984.32
  4. Step 4: Simplify right side
    10,559x = 63,103,142.20
  5. Step 5: Solve for x
    x = 63,103,142.20/10,559
  6. Step 6: Final answer
    x = 5,976.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.